In this section, the author derives the results for the couplings
of hadrons at low temperatures. First, the author calculates the meson profile function at low temperatures using the universal action derived in Ref [1]}. The corresponding EOM (Equation of motion) for the Fourier transform of the bulk-to-boundary profile function of mesons \(\phi _{n}(r,T)\)  in Euclidean metric is as follows:
\(\left[-\frac{d^{2}}{dr^{2}}+U(r,T)\right]\phi _{n}(r,T)=M_{n}^{2}(T)\phi _{n}(r,T).\) 
